On vibrations in Green-Naghdi thermoelasticity of dipolar bodies
This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar structure. In this context we construct a boundary value problem for a prismatic bar which is subjected to some harmonic in time vibrations. For th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2019-03-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2019-0007 |
| _version_ | 1818307403729338368 |
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| author | Marin M. Chirilă A. Codarcea L. Vlase S. |
| author_facet | Marin M. Chirilă A. Codarcea L. Vlase S. |
| author_sort | Marin M. |
| collection | DOAJ |
| description | This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar structure. In this context we construct a boundary value problem for a prismatic bar which is subjected to some harmonic in time vibrations. For the oscillations whose amplitudes have the frequency lower than a critical value, we deduce some estimates for describing the spatial behavior. |
| first_indexed | 2024-12-13T06:57:50Z |
| format | Article |
| id | doaj.art-4aa608001ab84bf3834d0aa72944647f |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T06:57:50Z |
| publishDate | 2019-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-4aa608001ab84bf3834d0aa72944647f2022-12-21T23:56:00ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352019-03-0127112514010.2478/auom-2019-0007On vibrations in Green-Naghdi thermoelasticity of dipolar bodiesMarin M.0Chirilă A.1Codarcea L.2Vlase S.3Department of Mathematics and Computer Science, Transilvania University of Braşov, Bdul Eroilor 29, 500036Braşov, Romania.Department of Mathematics and Computer Science, Transilvania University of Braşov, Bdul Eroilor 29, 500036Braşov, Romania.Department of Mathematics and Computer Science, Transilvania University of Braşov, Bdul Eroilor 29, 500036Braşov, Romania.Department of Mechanical Engineering, Transilvania University of Braşov, Str Politehnicii 1, 500024Braşov, Romania.This study is concerned with the theory of thermoelasticity of type III proposed by Green and Naghdi, which is extended to cover the bodies with dipolar structure. In this context we construct a boundary value problem for a prismatic bar which is subjected to some harmonic in time vibrations. For the oscillations whose amplitudes have the frequency lower than a critical value, we deduce some estimates for describing the spatial behavior.https://doi.org/10.2478/auom-2019-0007dipolar bodiesgreen-naghdi thermoelasticityg-n type iiiharmonic vibrationsspatial decayprimary 74a15, 74a35secondary 80a17 |
| spellingShingle | Marin M. Chirilă A. Codarcea L. Vlase S. On vibrations in Green-Naghdi thermoelasticity of dipolar bodies Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica dipolar bodies green-naghdi thermoelasticity g-n type iii harmonic vibrations spatial decay primary 74a15, 74a35 secondary 80a17 |
| title | On vibrations in Green-Naghdi thermoelasticity of dipolar bodies |
| title_full | On vibrations in Green-Naghdi thermoelasticity of dipolar bodies |
| title_fullStr | On vibrations in Green-Naghdi thermoelasticity of dipolar bodies |
| title_full_unstemmed | On vibrations in Green-Naghdi thermoelasticity of dipolar bodies |
| title_short | On vibrations in Green-Naghdi thermoelasticity of dipolar bodies |
| title_sort | on vibrations in green naghdi thermoelasticity of dipolar bodies |
| topic | dipolar bodies green-naghdi thermoelasticity g-n type iii harmonic vibrations spatial decay primary 74a15, 74a35 secondary 80a17 |
| url | https://doi.org/10.2478/auom-2019-0007 |
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